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Mice21 [21]
2 years ago
6

How many solutions exist for the system of equations in the graph?

Mathematics
1 answer:
katovenus [111]2 years ago
6 0

Answer:

Two solutions exist for the system of equations in the graph.

Step-by-step explanation:

Solutions are when the two graphs intersect.

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Solve the initial value problem: y'(x)=(4y(x)+25)^(1/2) ,y(1)=6. you can't really tell, but the '1/2' is the exponent
goblinko [34]

Answer:

y(x)=x^2+5x

Step-by-step explanation:

Given: y'=\sqrt{4y+25}

Initial value: y(1)=6

Let y'=\dfrac{dy}{dx}

\dfrac{dy}{dx}=\sqrt{4y+25}

Variable separable

\dfrac{dy}{\sqrt{4y+25}}=dx

Integrate both sides

\int \dfrac{dy}{\sqrt{4y+25}}=\int dx

\sqrt{4y+25}=2x+C

Initial condition, y(1)=6

\sqrt{4\cdot 6+25}=2\cdot 1+C

C=5

Put C into equation

Solution:

\sqrt{4y+25}=2x+5

or

4y+25=(2x+5)^2

y(x)=\dfrac{1}{4}(2x+5)^2-\dfrac{25}{4}

y(x)=x^2+5x

Hence, The solution is y(x)=\dfrac{1}{4}(2x+5)^2-\dfrac{25}{4} or y(x)=x^2+5x

4 0
3 years ago
Solve for x: x - 2 = 10
larisa86 [58]

Answer:

x=12

Step-by-step explanation:

you just have to add 2 to both sides to get x by itself and 10+2=12. therefore, x=12

8 0
3 years ago
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Help please:))))))))))))))))
ruslelena [56]

Answer:

B?

Step-by-step explanation:

2 are colored left to right, and 5 down

2/3 of the chart is taken up

4 0
3 years ago
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Can someone please help me !
Schach [20]
2)~3x\to\text{Linear Monomial, because it's of 1st degree.}\to B\\\\
3)~2x^4-x+5\to\text{Quartic Trinomial, because it's of 4th degree.}\to C\\\\
4)~(2x^2-5x+6)+(5x^2-3x+4)=(2x^2+5x^2)-(5x+3x)+(6+4)\\\\
=7x^2-8x+10\to A
8 0
3 years ago
At a flower shop, 4 flowers cost $10. Mrs. Watson usually buys 12 flowers. During a sale, there is a 20% discount on every flowe
guajiro [1.7K]
Make a proportion to find the cost for 12 flowers based on the price for 4 flowers. 
4/10=12/x
Cross multiply and you get 4x=120 Divide 4 on both sides of the equation. 
X is $30.
Then, you find the unit price of 1 flower by dividing 10 by 4. Each flower cost $2.50. 
Convert 20% to decimal which is 0.2.
Multiply 0.2 by 2.5 and you get 0.5. Subtract 0.5 from 2.5 to get 2. 
Write an equation using the information: $2 for each flower and you only have $30 to spend. 
The equation is 2x=30. Divide 2 on both sides and you get x=15 flowers
3 0
3 years ago
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